document.write( "Question 631734: Please help me solve this problem:\r
\n" ); document.write( "\n" ); document.write( "The length of a rectangle is 7 cm more than its width. If the length is increased by 2 cm and the width increased by 4 cm, the area will be increased by 54 cm^2. Find the original length and width of the rectangle. \r
\n" ); document.write( "\n" ); document.write( "Thank you so much!
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Algebra.Com's Answer #397825 by MathTherapy(10552)\"\" \"About 
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\n" ); document.write( "Please help me solve this problem:\r
\n" ); document.write( "\n" ); document.write( "The length of a rectangle is 7 cm more than its width. If the length is increased by 2 cm and the width increased by 4 cm, the area will be increased by 54 cm^2. Find the original length and width of the rectangle. \r
\n" ); document.write( "\n" ); document.write( "Thank you so much! \r
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\n" ); document.write( "\n" ); document.write( "Let original width of rectangle be W
\n" ); document.write( "Then original length = W + 7
\n" ); document.write( "Increasing length by 2 makes it W + 7 + 2, or (W + 9) cm
\n" ); document.write( "Increasing width by 4 makes it (W + 4) cm\r
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\n" ); document.write( "\n" ); document.write( "Original area = LW, or W(W + 7), or \"W%5E2+%2B+7W\"
\n" ); document.write( "Adjusted area = LW, or (W + 9)(W + 4), or \"W%5E2+%2B+13W+%2B+36\"\r
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\n" ); document.write( "\n" ); document.write( "Since adjusted area is increased by \"54+cm%5E2\", then:
\n" ); document.write( "\"%28W%5E2+%2B+13W+%2B+36%29+=+%28W%5E2+%2B+7W%29+%2B+56\"
\n" ); document.write( "\"W%5E2+-+W%5E2+%2B+13W+-+7W+=+56+-+36\" \r
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\n" ); document.write( "\n" ); document.write( "13W - 7W = 20\r
\n" ); document.write( "\n" ); document.write( "6W = 20\r
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\n" ); document.write( "\n" ); document.write( "W, or original width = \"20%2F6\", or \"10%2F3\", or \"highlight_green%283%261%2F3%29\" cm\r
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\n" ); document.write( "\n" ); document.write( "Original length = W + 7, or \"3%261%2F3+%2B+7\", or \"31%2F3\", or \"highlight_green%2810%261%2F3%29\" cm\r
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\n" ); document.write( "\n" ); document.write( "You should be able to do the check!!\r
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\n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com
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